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Chapter 5: Q 5.108 (page 224)

What rule of probability permits you to obtain any probability for a discrete random variable by simply knowing its probability distribution?

Short Answer

Expert verified

P(X∈R)-∑x∈RP(X=x)

Step by step solution

01

Step 1. Given information

Take occurrences that are mutually exclusive.

02

Step 2. Solution

The likelihood of a discrete random variable X taking a value from a set of real numbers.

If R is a positive number, then the probability of that variable is equal to the sum of the individual probabilities.

across the values ofthe collection of random variables


As a result, the above rule is applied to determine the probability of a discrete random variable.

utilizing the probability distribution of the variable

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Most popular questions from this chapter

Suppose that A, B, C are three events that cannot all occur simultaneously. Does this condition necessarily imply that A, B, and C are mutually exclusive ? Justify your answer and illustrate it with a venn diagram.

How do you graphically portray the probability distribution of a discrete random variable?

Identify one reason why the complementation rule is useful.

What is the relationship between Bernoulli trials and the binomial distribution?

Which of the following numbers could not possibly be a probability? Justify your answer.

a. 5/6

b. 3.5

c. 0
See all solutions

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